13301313013 has 2 divisors, whose sum is σ = 13301313014. Its totient is φ = 13301313012.

The previous prime is 13301312933. The next prime is 13301313017. The reversal of 13301313013 is 31031310331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11095883569 + 2205429444 = 105337^2 + 46962^2 .

It is a cyclic number.

It is not a de Polignac number, because 13301313013 - 2³³ = 4711378421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13301313017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650656506 + 6650656507.

It is an arithmetic number, because the mean of its divisors is an integer number (6650656507).

Almost surely, 2^13301313013 is an apocalyptic number.

It is an amenable number.

13301313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301313013 is an equidigital number, since it uses as much as digits as its factorization.

13301313013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 13301313013 its reverse (31031310331), we get a palindrome (44332623344).

The spelling of 13301313013 in words is "thirteen billion, three hundred one million, three hundred thirteen thousand, thirteen".